Question: Use the initial value Green's function for (x^{prime prime}+x=f(t), x(0)=4), (x^{prime}(0)=0), to solve the following problems. a. (x^{prime prime}+x=5 t^{2}). b. (x^{prime prime}+x=2 tan t).
Use the initial value Green's function for \(x^{\prime \prime}+x=f(t), x(0)=4\), \(x^{\prime}(0)=0\), to solve the following problems.
a. \(x^{\prime \prime}+x=5 t^{2}\).
b. \(x^{\prime \prime}+x=2 \tan t\).
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